Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
4.12.1954
E-mail: Keywords: differential equations,
linear systems,
linear equations,
Hamiltonian systems,
stability,
Lyapunov's exponents,
oscillation,
wondering,
Baire's classification,
control system.
UDC: 517.926
Subject:
Ordinary differential equations, linear differential systems and equations, Hamiltonian systems, qualitative theory of differential equations, stability theory, theory of Lyapunov exponents, oscillation theory, Baire's discontinuous functions theory, control systems theory.
Main publications:
I. N. Sergeev, “K teorii pokazatelei Lyapunova lineinykh sistem differentsialnykh uravnenii”, Trudy seminara im. I. G. Petrovskogo, 9, 1983, 111–166
I. N. Sergeev, “Formula dlya vychisleniya minimalnogo pokazatelya trekhmernoi sistemy”, Differents. uravneniya, 36:3 (2000), 345–354
I. N. Sergeev, “Opredelenie i svoistva kharakteristicheskikh chastot lineinogo uravneniya”, Trudy seminara im. I. G. Petrovskogo, 25, 2006, 249–294
I. N. Sergeev, “Ob upravlenii resheniyami lineinogo differentsialnogo uravneniya”, Vestnik Mosk. un-ta. Ser. 1. Matem., mekh., 2009, № 3, 25–33
I. N. Sergeev, “Kharakteristiki koleblemosti i bluzhdaemosti reshenii lineinoi differentsialnoi sistemy”, Izv. RAN. Ser. matem., 76:1 (2012), 149–172